312513618101 has 2 divisors, whose sum is σ = 312513618102. Its totient is φ = 312513618100.

The previous prime is 312513618077. The next prime is 312513618103. The reversal of 312513618101 is 101816315213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228891437476 + 83622180625 = 478426^2 + 289175^2 .

It is a cyclic number.

It is not a de Polignac number, because 312513618101 - 2¹⁰ = 312513617077 is a prime.

It is a super-2 number, since 2×312513618101² (a number of 24 digits) contains 22 as substring.

Together with 312513618103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312513618103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156256809050 + 156256809051.

It is an arithmetic number, because the mean of its divisors is an integer number (156256809051).

Almost surely, 2^312513618101 is an apocalyptic number.

It is an amenable number.

312513618101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312513618101 is an equidigital number, since it uses as much as digits as its factorization.

312513618101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 312513618101 in words is "three hundred twelve billion, five hundred thirteen million, six hundred eighteen thousand, one hundred one".